Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials

Abstract : Slow crack growth in a model of homogenous brittle elastic material is described as a thermal activation process where stress fluctuations allow to overcome a breaking threshold through a series of irreversible steps. We study the case of a single crack in a flat sheet for which analytical predictions can be made, and compare them with results from the equivalent problem of a 2D spring network. Good statistical agreement is obtained for the crack growth profile and final rupture time. The specific scaling of the energy barrier with stress intensity factor appears as a consequence of irreversibility. In addition, the model brings out a characteristic growth length whose physical meaning could be tested experimentally.
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Stéphane Santucci, Loïc Vanel, Alessio Guarino, Riccardo Scorretti, Sergio Ciliberto. Thermal activation of rupture and slow crack growth in a model of homogenous brittle materials. EPL - Europhysics Letters, European Physical Society/EDP Sciences/Società Italiana di Fisica/IOP Publishing, 2003, 62 (3), pp.320. ⟨10.1209/epl/i2003-00398-1⟩. ⟨ensl-00156844⟩

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